논문KCI 등재
Certain curvature conditions of real hypersurfaces in a complex hyperbolic space
대한수학회 (The Korean Mathematical Society)|2015.04|대한수학회논문집 (Communications of the KMS)|제30권 제2호|pp. 131-142
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The purpose of this paper is to study real hypersurfaces immersed in a complex hyperbolicspace $CH^n$ and especially to investigate certain curvature conditions for such real hypersurfaces to be the model hypersurfaces in classification theorem (said to be Theorem M-R) given by Montiel and Romero (\cite{4}) in Section 3.
Abstract
The purpose of this paper is to study real hypersurfaces immersed in a complex hyperbolicspace $CH^n$ and especially to investigate certain curvature conditions for such real hypersurfaces to be the model hypersurfaces in classification theorem (said to be Theorem M-R) given by Montiel and Romero (\cite{4}) in Section 3.
참고문헌 (5)
- J. Berndt, "Real hypersurfaces with constant principal curvatures in complex hyperbolic space", J. Reine. Angew. Math, 395, pp.132~141 (1989)
- B. Y. Chen, "Geometry of Submanifolds" (2001), Marcel Dekker Inc
- S. Montiel, "Real hypersurfaces of a complex hyperbolic space", J. Math. Soc. Japan, 37(3), pp.515~535 (1985)
- S. Montiel, "On some real hypersurfaces of a complex hyperbolic space", Geom. Dedicata, 20(2), pp.245~261 (1986)
- J. S. Pak, "Application of an integral formula to CR-submanifolds of complex hyperbolic space", Int. J. Math. Math. Sci, 2005(7), pp.987~996 (2005)
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